$4$

Problem $19-16($Statlc$)$

$10$

A garden store prepares various grades of pine bark for mulch: nuggets $(x_1).$ mini$-$nuggets $(x_2).$ and chips $(x_3).$ The process requires pine bark, machine time, labor time, and storage space. The following model has been developed.

$])$:$\}$

$[$ Subject $to])$:$\}$

Machine $2x_2+3x_{3}608$ pounds

Labor $2x_1+4x_2+4x_2+3x_{3}480$ minutes

Storage $1x_1+1x_2+1x_{3}15$ bags

$x_1,x_2,x_3[8$

$6-1.$ What is the marginal value of a pound of pine bark? $($Round your onswer to $2$ declmal places.$)$

The marginal value of a pound of bark is

$0-2.$ Over what range is this price value appropriate?

This marginal value is in effect from

Ibs. to

Ibs. of bark

b$.$ What is the maximum price the store would be justified in paying for additional pine bark? $($Round your answer to $2$ declmal pleces.$)$

Maximum price

per pound